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201101022221112 = 23321321011109147551
BaseRepresentation
bin101101101110011001111010…
…111111100101001100111000
3222101001001220000012001001100
4231232121322333211030320
5202324314343142033422
61551412311220451400
760234032541632526
oct5556317277451470
9871031800161040
10201101022221112
1159093512395182
121a67a885549b60
13882998ba84700
1437934acb81316
15183b1746607ac
hexb6e67afe5338

201101022221112 has 288 divisors, whose sum is σ = 596147809046400. Its totient is φ = 61208933760000.

The previous prime is 201101022221111. The next prime is 201101022221173. The reversal of 201101022221112 is 211122220101102.

201101022221112 is a `hidden beast` number, since 201 + 10 + 10 + 222 + 211 + 12 = 666.

It is a super-2 number, since 2×2011010222211122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101022221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1362851737 + ... + 1362999287.

It is an arithmetic number, because the mean of its divisors is an integer number (2069957670300).

Almost surely, 2201101022221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101022221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298073904523200).

201101022221112 is an abundant number, since it is smaller than the sum of its proper divisors (395046786825288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201101022221112 is a wasteful number, since it uses less digits than its factorization.

201101022221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148799 (or 148779 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201101022221112 its reverse (211122220101102), we get a palindrome (412223242322214).

The spelling of 201101022221112 in words is "two hundred one trillion, one hundred one billion, twenty-two million, two hundred twenty-one thousand, one hundred twelve".